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Phantasy [73]
3 years ago
14

Determine whether the series is convergent or divergent by expressing sn as a telescoping sum (as in this example). [infinity] 1

5 n(n + 3) n = 1
Mathematics
1 answer:
anygoal [31]3 years ago
6 0

Answer: hello your question is poorly written attached below is the complete question

answer:

The series is Convergent

sum of series = 55 / 6 = 9.166

Step-by-step explanation:

The series in this question is Convergent

attached below is the prove

The sum of the series = 55 / 6 = 9.166

attached below is the required solution

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A Florida neighborhood is comprised of a total of 250 houses of which 12% are in foreclosure. A random sample of 91 homes from t
natka813 [3]

Answer:

the standard error of the proportion is 0.0272

Step-by-step explanation:

We have that if the sample size is greater than 5% of the entire population, a finite population correction factor (fpc) is multiplied with the standard error :

fpc = \sqrt{\frac{N -n}{N -1} }

We know that N = 250 n = 91, replacing:

fpc = \sqrt{\frac{250 - 91}{250 -1} }

fpc = 0.799

Now, the formula would then be:

SE  = \sqrt{\frac{p * (1 -p)}{n} }*fpc

Now replacing, knowing that p = 0.12

SE= \sqrt{\frac{0.12 * (1 - 0.12)}{91} }*0.799

SE = 0.0272

So the standard error of the proportion is 0.0272

6 0
2 years ago
1.) What is the slope of the line perpendicular to a line with the slope of<br> 2/3?
daser333 [38]

Answer:

-3/2

Explanation:

Slopes of perpendicular lines are opposite reciprocals, which means you flip them and switch them from positive to negative, or the other way around.

8 0
2 years ago
Given: Ray BC bisects angle ABD.
natita [175]

Congruent is the same size and same shape. When a ray bisects an angle, the two newly created angles will be congruent, since the ray went right in the middle of the first angle (so in this case, ABC and DBC will be congruent)

4 0
2 years ago
Read 2 more answers
Use synthetic division to show that the number given to the right of the equation is a solution of the equation. Then solve the
AysviL [449]

Answer:

x = 2 \: or \: x =  - 2 \: or \: x =  -  \frac{1}{2}

Step-by-step explanation:

The given polynomial equation is

2 {x}^{3}  +  {x}^{2}  - 8x - 4 = 0

We perform the synthetic division as shown in the attachment by dividing by x-2.

This gives a remainder of 0 and a quotient of

2 {x}^{2}  + 5x + 2

This means the polynomial equation becomes:

(x - 2)(2 {x}^{2}  + 5x + 2) = 0

We factor the quadratic term by splitting the middle term;

(x - 2)(2 {x}^{2}  + 4x +x +  2) = 0

(x - 2)(2 x(x+ 2) +1(x +  2) )= 0

Collect common factors again:

(x - 2)((x+ 2)(2x +  1) = 0

The solution is:

x = 2 \: or \: x =  - 2 \: or \: x =  -  \frac{1}{2}

8 0
3 years ago
B. If 3x - 3 and 5x + 7° are the angle of a linear pair, find their measurement the angle<br>​
ankoles [38]

Answer:

x = 22°

the angles are: 63° and 117°

Step-by-step explanation:

a linear pair of angles total together to be 180°

so:

3x - 3 + 5x + 7 = 180

combune like terms:

8x = 176

divide both sides of the equation by 8:

x = 22°

the angles are: 63° and 117°

7 0
2 years ago
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